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{\bf  Albin L. Jones}
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{\bf A short proof of a partition relation for triples  }
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We provide a much shorter proof of the following partition theorem
  of P.~Erd\H{o}s and R.~Rado: If~$X$ is an uncountable linear order
  into which neither~$\omega_1$ nor~$\omega_1^{*}$ embeds, then $X \to
  (\alpha, 4)^{3}$ for every ordinal~$\alpha < \omega + \omega$.  We
  also provide two counterexamples to possible generalizations of this
  theorem, one of which answers a question of E.~C.~Milner and
  K.~Prikry.

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